Search a number
-
+
232380610560 = 21133572171009
BaseRepresentation
bin1101100001101011110…
…1101011100000000000
3211012211000010010122000
43120122331223200000
512301403414014220
6254430522544000
722534415412300
oct3303275534000
9735730103560
10232380610560
118a60888417a
1239053968000
1318bb4971677
14b36677d600
1560a1094390
hex361af6b800

232380610560 has 1152 divisors, whose sum is σ = 1018436328000. Its totient is φ = 49941577728.

The previous prime is 232380610559. The next prime is 232380610639. The reversal of 232380610560 is 65016083232.

It is a happy number.

232380610560 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 80 + 6 + 10 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230307336 + ... + 230308344.

Almost surely, 2232380610560 is an apocalyptic number.

232380610560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232380610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509218164000).

232380610560 is an abundant number, since it is smaller than the sum of its proper divisors (786055717440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232380610560 is a wasteful number, since it uses less digits than its factorization.

232380610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 232380610560 its reverse (65016083232), we get a palindrome (297396693792).

The spelling of 232380610560 in words is "two hundred thirty-two billion, three hundred eighty million, six hundred ten thousand, five hundred sixty".